A295164 - OEIS

A295164

Number of squarefree numbers m <= n that have a prime divisor greater than sqrt(n) (i.e., A006530(m) > sqrt(n)).

0, 1, 2, 1, 2, 3, 4, 4, 2, 3, 4, 4, 5, 6, 7, 7, 8, 8, 9, 9, 10, 11, 12, 12, 9, 10, 10, 10, 11, 11, 12, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 21, 21, 21, 22, 23, 23, 18, 18, 19, 19, 20, 20, 21, 21, 22, 23, 24, 24, 25, 26, 26, 26, 27, 28, 29, 29, 30, 30, 31, 31, 32, 33, 33, 33, 34, 35, 36, 36, 36, 37, 38, 38, 39, 40, 41, 41, 42, 42, 43, 43, 44, 45, 46, 46, 47, 47, 47, 47

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OFFSET

1,3

LINKS

Table of n, a(n) for n=1..100.

FORMULA

a(n) = Sum_{prime p > sqrt(n)} A013928(floor(n/p)+1).

a(n) = A013928(n+1) - A295101(n).

CROSSREFS

Cf. A241419.

Sequence in context: A320581 A240855 A084612 * A241419 A203108 A230989

Adjacent sequences: A295161 A295162 A295163 * A295165 A295166 A295167

KEYWORD

nonn

AUTHOR

Max Alekseyev, Nov 16 2017

STATUS

approved